CBSE Class 10 Science 2020 Outside Delhi Set 3
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Question : 6 of 6
Marks:
+1,
-0
(a) An electric bulb is rated at ; . What is its resistance?
(b) Calculate the energy consumed by 3 such bulbs if they glow continuously for 10 hours for complete month of November.
(c) Calculate the total cost if the rate is 6.50 per unit.
OR
(a) What is meant by the statement, "The resistance of a conductor is one ohm" ?
(b) Define electric power. Write an expression relating electric power, potential difference and resistance.
(c) How many resistors in parallel are required to carry on a line?
(b) Calculate the energy consumed by 3 such bulbs if they glow continuously for 10 hours for complete month of November.
(c) Calculate the total cost if the rate is 6.50 per unit.
OR
(a) What is meant by the statement, "The resistance of a conductor is one ohm" ?
(b) Define electric power. Write an expression relating electric power, potential difference and resistance.
(c) How many resistors in parallel are required to carry on a line?
Solution:
(a) Here, potential difference across the bulb,
Power of the bulb,
As
(b) Electric energy consumed by 1 bulb in 10 hours for 30 days, i.e.,
Electric energy consumed by 3 bulbs
(c) Cost of 90 units of electric energy
OR
(a) Ohm's law states that current flowing through a conductor is directly proportional to the potential difference maintained across the two ends of a conductor at constant temperature and pressure.
Let current flowing through a conductor is is the potential difference maintained across the two ends of conductor.
As per Ohm's law,
Thus,
Here is a proportionality constant called resistance.
As per the question, the resistance of a conductor is .
Let volt and , then Hence, the resistance is said to be if 1 ampere of current flows through a circuit due to the potential difference of 1 volt.
(b) Electric power is the rate at which work is done or energy is transformed in an electrical circuit.
The formula for electric power is given by:
where,
is the power
is the potential difference in the circuit I is the electric current
Power can also be written as
The above two expressions are got by using Ohms law, where, voltage, current
and resistance are related by the following relation.
Where,
is the resistance in the circuit.
is the potential difference in the circuit I is the electric current
(c) For number of resistors of resistance
Supply voltage,
Current,
Equivalent resistance of the combination , given as
From Ohm's law :
So, answer is 3 resistors.
Power of the bulb,
As
(b) Electric energy consumed by 1 bulb in 10 hours for 30 days, i.e.,
Electric energy consumed by 3 bulbs
(c) Cost of 90 units of electric energy
OR
(a) Ohm's law states that current flowing through a conductor is directly proportional to the potential difference maintained across the two ends of a conductor at constant temperature and pressure.
Let current flowing through a conductor is is the potential difference maintained across the two ends of conductor.
As per Ohm's law,
Thus,
Here is a proportionality constant called resistance.
As per the question, the resistance of a conductor is .
Let volt and , then Hence, the resistance is said to be if 1 ampere of current flows through a circuit due to the potential difference of 1 volt.
(b) Electric power is the rate at which work is done or energy is transformed in an electrical circuit.
The formula for electric power is given by:
where,
is the power
is the potential difference in the circuit I is the electric current
Power can also be written as
The above two expressions are got by using Ohms law, where, voltage, current
and resistance are related by the following relation.
Where,
is the resistance in the circuit.
is the potential difference in the circuit I is the electric current
(c) For number of resistors of resistance
Supply voltage,
Current,
Equivalent resistance of the combination , given as
From Ohm's law :
So, answer is 3 resistors.
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